Answer:
Im not sure, but i think it's the bottom because there not working with negatives
Step-by-step explanation:
Don't put that as the answer tho, im not too sure.
We make the composition of both functions:
f (x) = x ^ 2-1
g (x) = 2x-3
Then:
f (g (x)) = (2x-3) ^ 2-1
Rewriting:
f (g (x)) = 4x ^ 2-12x + 8
The domain of this function is all real numbers.
Equivalently
x: (-inf, inf)
answer:
x: (-inf, inf)
option 1.
![\displaystyle\int_{.5}^1\frac{1}x\frac{dx}{x^3}=\int_{.5}^1\frac{dx}{x^4}=\left[\frac{-1}{3x^3}\right]_{.5}^1=\frac{7}3](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_%7B.5%7D%5E1%5Cfrac%7B1%7Dx%5Cfrac%7Bdx%7D%7Bx%5E3%7D%3D%5Cint_%7B.5%7D%5E1%5Cfrac%7Bdx%7D%7Bx%5E4%7D%3D%5Cleft%5B%5Cfrac%7B-1%7D%7B3x%5E3%7D%5Cright%5D_%7B.5%7D%5E1%3D%5Cfrac%7B7%7D3)
[<em>Your notation is not 100% clear since you're not using the math tool, so if that's not what you meant, leave a comment and I'll correct the answer.</em>]